A collective-variable theory for nonlinear coherent excitations in classical Hamiltonian systems

Physica D: Nonlinear Phenomena

Volumn 141, Issue 3-4, 2000, Pages 261-280

  Schnitzer, H J ^a   Mertens, F G ^a   Bishop, A R ^b  

^a UNIVERSITY OF BAYREUTH   (Germany)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Canonical transformation; Coherent excitation; Collective variable; Constrained Hamiltonian system; Dirac bracket

Indexed keywords

EID: 0346684353     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(00)00041-5     Document Type: Article

References (40)

1. A.R. Bishop, R. Ecke, J. Gubernatis (Eds.), Nonlinearity in Condensed Matter, Springer, Berlin, 1993.
2. K.H. Spatschek, F.G. Mertens (Eds.), Nonlinear Coherent Structures in Physics and Biology, Plenum Press, New York, 1994.
3. M.B. Fogel, S.E. Trullinger, A.R. Bishop, J.A. Krumhansl, Phys. Rev. Lett. 36 (1976) 1411.
4. G. Eilenberger, Z. Phys. B 27 (1977) 199.
5. J.P. Keener, D.W. McLaughlin, Phys. Rev. A 16 (1977) 777.
6. J.P. Keener, D.W. McLaughlin, J. Math. Phys. 18 (1977) 2008.
7. K.A. Gorshkov, L.A. Ostrovsky, Physica D 1 (1981) 428.
8. Y.S. Kivshar, B.A. Malomed, Rev. Mod. Phys. 61 (1989) 763.
9. A.A. Thiele, Phys. Rev. Lett. 30 (1973) 230.
10. O. Legrand, Phys. Rev. A 36 (1987) 5068.
11. J.G. Caputo, N. Flytzanis, Phys. Rev. A 44 (1991) 6219.
12. D.J. Bergman, E. Ben-Jacob, Y. Imry, K. Maki, Phys. Rev. A 27 (1983) 3345.
13. O.A. Levring, M.R. Samuelsen, O.H. Olsen, Physica D 11 (1984) 349.
14. G.B. Whitham, Linear and Nonlinear Waves, Wiley, New York, 1974.
15. P.A.M. Dirac, Lectures on Quantum Mechanics, Belfer Graduate School of Science, Yeshiva University, New York, 1964.
16. E.C.G. Sudarshan, N. Mukunda, Classical Dynamics: A Modern Perspective, Wiley, New York, 1974.
17. K. Sundermeyer, Constrained Dynamics, Springer, Berlin, 1982.
18. E. Tomboulis, Phys. Rev. D 12 (1975) 1678.
19. C.R. Willis, M. El-Batanouny, P. Stancioff, Phys. Rev. B 33 (1986) 1904.
20. R. Boesch, P. Stancioff, C.R. Willis, Phys. Rev. B 38 (1988) 6713.
21. C.R. Willis, M. El-Batanouny, S. Burdick, R. Boesch, P. Sodano, Phys. Rev. B 35 (1987) 3496.
22. C.R. Willis, M. El-Batanouny, R. Boesch, P. Sodano, Phys. Rev. B 40 (1989) 686.
23. C.R. Willis, R. Boesch, Phys. Rev. B 41 (1990) 4570.
24. R. Boesch, C.R. Willis, Phys. Rev. B 39 (1989) 361.
25. A. Hosoya, K. Kikkawa, Nuclear Phys. B 101 (1975) 271.
26. E. Tomboulis, G. Woo, Ann. Physics 98 (1976) 1.
27. A. Igarashi, T. Munakata, J. Phys. Soc. Japan 58 (1989) 4025.
28. T. Munakata, A. Igarashi, J. Phys. Soc. Japan 58 (1989) 4019.
29. F. Dayi, Ann. Physics 217 (1992) 21.
30. R. Boesch, C.R. Willis, Phys. Rev. B 42 (1990) 6371.
31. M.E. Gouvea, G.M. Wysin, A.R. Bishop, F.G. Mertens, Phys. Rev. B 39 (16) (1989) 11840.
32. A.A. Thiele, J. Appl. Phys. 45 (1974) 377.
33. H. Aref, Ann. Rev. Fluid Mech. 15 (1983) 345.
34. G.M. Wysin, F.G. Mertens, in: M. Remoissenet (Ed.), Nonlinear Coherent Structures in Physics and Biology, Springer, Berlin, 1991.
35. F.G. Mertens, H.J. Schnitzer, A.R. Bishop, Phys. Rev. B 56 (1997) 2510.
36. H.J. Schnitzer, Ph.D. Thesis, University of Bayreuth, Germany, 1996.
37. A.V. Nikiforov, E.B. Sonin, Sov. Phys. JETP 58 (1983) 373.
38. N. Papanicolaou, T.N. Tomaras, Nuclear Phys. B 360 (1991) 425.
39. N. Papanicolaou, W.J. Zakrzewski, Physica D 80 (1995) 225.
40. B.A. Ivanov, H.J. Schnitzer, F.G. Mertens, G.M. Wysin, Phys. Rev. B 58 (1998) 8464.